The square root of 7 is an irrational number.
Let
A (x1,y1)-------> (1,5)
B (x2,y2)------> (5,10)
C (x3,y3)------> (9,15)
D (x4,y4)------> (13,20)
find the slope
AB
m=(10-5)/(5-1)-----> m=5/4
find the slope
CB
m=(15-10)/(9-5)-----> m=5/4
find the slope
DC
m=(20-15)/(13-9)-----> m=5/4
so
<span>the relationship shown is linear
</span>
<span>to model the data with an equation find the equation of a line
</span>with m=5/4 and point A (1,5)
y-y1=m*(x-x1)-----> y-5=(5/4)*(x-1)----> y=1.25x-1.25+5-----> y=1.25x+3.75
the equation to model data isy=1.25x+3.75
see the attached figure
Answer:
The probability that M produces a word that looks like a byte is
.
Step-by-step explanation:
It is given that a message source M of a digital communication system outputs a word of length 8 characters.
The characters drawn from the ternary alphabet {0,1,2}, and all such words are equally probable.
Total possible outcomes is

We need to find the probability that M produces a word that looks like a byte (i.e., no appearance of ‘2’). It means only 0 and 1 are included in the word.
Total favorable outcomes is

The formula for probability is



Therefore the probability that M produces a word that looks like a byte is
.
$50.08, I think. Because you can substitute 3x = $75.12 and solve for x
<span />
Answer:
28 units.
Step-by-step explanation:
The distance between two given points (
) and (
) is given by the formula
So, the distance between points (-2,-4) and (-1,6) is
units.
Now, the distance between points (-1,6) and (3,8) is
units
Again, the distance between the points (-2,-4) and (3,8) is
units.
Therefore,the perimeter of the triangle is (10.05 + 4.47 + 13) = 27.52 ≈ 28 units. (Approximate)